The analysis of error propagation for the recurrent relations between the inclination function.

Details The analysis of error propagation for the recurrent relations between the inclination function. The analysis of error propagation for the recurrent relations between the inclination function.

Mar 1998

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998ppmto..17...38d&link_type=abstract

Publ. Purple Mt. Obs., Vol. 17, No. 1, p. 38 - 45

Physics

Numerical Methods: Error Analysis

Scientific paper

On recurrent relations between inclination functions, a number of researchers worked on it. The best result was obtained by Tong Fu. The recurrent relations are expressed to contain only two or three neighbouring functions. However, there is a severe problem on calculating error propagation in Tong Fu's formulae in the case of relatively small inclination. An analytical formula is deduced to estimate the calculating error propagation, and a method is suggested to avoid the calculating error propagation on the basis of the analysis of the error propagation process.

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